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202112110002120 = 23354380013845351
BaseRepresentation
bin101101111101000111100100…
…100001010111111111001000
3222111121201200110020002200020
4231331013210201113333020
5202442401100130031440
61553505004352540440
760400055333155653
oct5575074441277710
9874551613202606
10202112110002120
11594432a005404a
121a802820851720
1388a11232007c6
1437ca3c79c889a
1518575ee5053d0
hexb7d1e4857fc8

202112110002120 has 64 divisors (see below), whose sum is σ = 606337872013440. Its totient is φ = 53896425600000.

The previous prime is 202112110002107. The next prime is 202112110002137. The reversal of 202112110002120 is 21200011211202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202112110002120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50637445 + ... + 54482795.

It is an arithmetic number, because the mean of its divisors is an integer number (9474029250210).

Almost surely, 2202112110002120 is an apocalyptic number.

202112110002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202112110002120 is an abundant number, since it is smaller than the sum of its proper divisors (404225762011320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202112110002120 is a wasteful number, since it uses less digits than its factorization.

202112110002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283366 (or 4283362 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202112110002120 its reverse (21200011211202), we get a palindrome (223312121213322).

The spelling of 202112110002120 in words is "two hundred two trillion, one hundred twelve billion, one hundred ten million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 438001 876002 1314003 1752004 2190005 2628006 3504008 3845351 4380010 5256012 6570015 7690702 8760020 10512024 11536053 13140030 15381404 17520040 19226755 23072106 26280060 30762808 38453510 46144212 52560120 57680265 76907020 92288424 115360530 153814040 230721060 461442120 1684267583351 3368535166702 5052802750053 6737070333404 8421337916755 10105605500106 13474140666808 16842675833510 20211211000212 25264013750265 33685351667020 40422422000424 50528027500530 67370703334040 101056055001060 202112110002120